40134735813688128
40,134,735,813,688,128 is an even composite number composed of five prime numbers multiplied together.
40134735813688128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 40134735813688128:
26 × 34 × 412 × 127 × 3313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 41 × 41 × 127 × 331 × 331 × 331)See below for interesting mathematical facts about the number 40134735813688128 from the Numbermatics database.
Names of 40134735813688128
- Cardinal: 40134735813688128 can be written as Forty quadrillion, one hundred thirty-four trillion, seven hundred thirty-five billion, eight hundred thirteen million, six hundred eighty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.0134735813688128 × 1016
Factors of 40134735813688128
Divisors of 40134735813688128
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 127 144 162 164 192 216 246 254 288 324 328 331 369 381 432 492 508 576 648 656 662 738 762 864 984 993 1016 1107 1143 1296 1312 1324 1476 1524 1681 1728 1968 1986 2032 2214 2286 2592 2624 2648 2952 2979 3048 3321 3362 3429 3936 3972 4064 4428 4572 5043 5184 5207 5296 5904 5958 6096 6642 6724 6858 7872 7944 8128 8856 8937 9144 10086 10287 10414 10592 11808 11916 12192 13284 13448 13571 13716 15129 15621 15888 17712 17874 18288 20172 20574 20828 21184 23616 23832 24384 26568 26811 26896 27142 27432 30258 31242 31776 35424 35748 36576 40344 40713 41148 41656 42037 45387 46863 47664 53136 53622 53792 54284 54864 60516 62484 63552 70848 71496 73152 80688 81426 82296 83312 84074 90774 93726 95328 106272 107244 107584 108568 109561 109728 121032 122139 124968 126111 136161 140589 142992 161376 162852 164592 166624 168148 181548 187452 190656 212544 213487 214488 217136 219122 219456 242064 244278 249936 252222 272322 281178 285984 322752 325704 328683 329184 333248 336296 363096 366417 374904 378333 421767 426974 428976 434272 438244 484128 488556 499872 504444 544644 556411 562356 571968 640461 651408 657366 658368 672592 726192 732834 749808 756666 843534 853948 857952 868544 876488 968256 977112 986049 999744 1008888 1089288 1099251 1112822 1124712 1134999 1280922 1302816 1314732 1345184 1452384 1465668 1499616 1513332 1669233 1687068 1707896 1715904 1723517 1752976 1921383 1954224 1972098 2017776 2178576 2198502 2225644 2249424 2269998 2561844 2605632 2629464 2690368 2904768 2931336 2958147 2999232 3026664 3338466 3374136 3404997 3415792 3447034 3505952 3842766 3908448 3944196 4035552 4357152 4397004 4451288 4492001 4498848 4539996 5007699 5123688 5170551 5258928 5764149 5862672 5916294 6053328 6676932 6748272 6809994 6831584 6894068 7011904 7685532 7816896 7888392 8071104 8714304 8794008 8874441 8902576 8984002 8997696 9079992 10015398 10247376 10341102 10517856 11528298 11725344 11832588 12106656 13353864 13476003 13496544 13619988 13663168 13788136 13914247 15023097 15371064 15511653 15776784 17292447 17588016 17748882 17805152 17968004 18159984 20030796 20494752 20682204 21035712 23056596 23450688 23665176 24213312 26707728 26952006 26993088 27239976 27576272 27828494 30046194 30742128 31023306 31553568 34584894 35176032 35497764 35610304 35936008 36264691 36319968 40061592 40428009 40989504 41364408 41742741 45069291 46113192 46534959 47330352 53415456 53904012 54479952 55152544 55656988 60092388 61484256 62046612 63107136 69169788 70352064 70664197 70995528 71872016 72529382 72639936 80123184 80856018 82728816 83485482 90138582 92226384 93069918 94660704 106830912 107808024 108794073 108959904 110305088 111313976 120184776 121284027 122968512 124093224 125228223 138339576 139604877 141328394 141991056 143744032 145058764 160246368 161712036 165457632 166970964 180277164 184172041 184452768 186139836 189321408 211992591 215616048 217588146 217919808 222627952 240369552 242568054 248186448 250456446 276679152 279209754 282656788 283982112 287488064 290117528 320492736 323424072 326382219 330915264 333941928 360554328 363852081 368344082 368905536 372279672 375684669 423985182 431232096 435176292 445255904 480739104 485136108 496372896 500912892 552516123 553358304 558419508 565313576 567964224 570484127 580235056 635977773 646848144 652764438 667883856 721108656 727704162 736688164 744559344 751369338 847970364 862464192 870352584 890511808 961478208 970272216 979146657 992745792 1001825784 1105032246 1106716608 1116839016 1127054007 1130627152 1140968254 1160470112 1271955546 1293696288 1305528876 1335767712 1442217312 1455408324 1473376328 1486852331 1489118688 1502738676 1657548369 1695940728 1711452381 1740705168 1907933319 1940544432 1958293314 2003651568 2210064492 2233678032 2254108014 2261254304 2281936508 2320940224 2543911092 2587392576 2611057752 2671535424 2884434624 2910816648 2937439971 2946752656 2973704662 2978237376 3005477352 3315096738 3391881456 3422904762 3481410336 3815866638 3881088864 3916586628 4007303136 4420128984 4460556993 4467356064 4508216028 4522508608 4563873016 4605615757 4972645107 5087822184 5134357143 5222115504 5723799957 5821633296 5874879942 5893505312 5947409324 6010954704 6630193476 6783762912 6845809524 6962820672 7631733276 7762177728 7833173256 8014606272 8840257968 8921113986 8934712128 9016432056 9127746032 9211231514 9945290214 10175644368 10268714286 10444231008 11447599914 11643266592 11749759884 11787010624 11894818648 12021909408 13260386952 13381670979 13567525824 13691619048 13816847271 14917935321 15263466552 15403071429 15666346512 17680515936 17842227972 18032864112 18255492064 18422463028 19890580428 20351288736 20537428572 20888462016 22895199828 23286533184 23389849207 23499519768 23789637296 24043818816 26520773904 26763341958 27383238096 27633694542 29835870642 30526933104 30806142858 31332693024 35361031872 35684455944 36065728224 36510984128 36844926056 39781160856 40145012937 40702577472 41074857144 41450541813 45790399656 46209214287 46779698414 46999039536 47579274592 53041547808 53526683916 54766476192 55267389084 59671741284 60960945571 61053866208 61612285716 62665386048 70169547621 71368911888 72131456448 73689852112 79562321712 80290025874 82149714288 82901083626 91580799312 92418428574 93559396828 93998079072 95158549184 106083095616 107053367832 109532952384 110534778168 119343482568 120435038811 121921891142 122107732416 123224571432 124351625439 140339095242 142737823776 147379704224 159124643424 160580051748 164299428576 165802167252 182882836713 183161598624 184836857148 187118793656 187996158144 188830246037 210508642863 214106735664 221069556336 238686965136 240870077622 243843782284 246449142864 248703250878 280678190484 285475647552 294759408448 318249286848 321160103496 328598857152 331604334504 365765673426 366323197248 369673714296 373054876317 374237587312 377660492074 421017285726 428213471328 442139112672 477373930272 481740155244 487687564568 492898285728 497406501756 548648510139 561356380968 566490738111 631525928589 642320206992 663208669008 731531346852 739347428592 746109752634 748475174624 755320984148 842034571452 856426942656 884278225344 954747860544 963480310488 975375129136 985796571456 994813003512 1097297020278 1122712761936 1132981476222 1263051857178 1284640413984 1326417338016 1463062693704 1478694857184 1492219505268 1496950349248 1510641968296 1645945530417 1684069142904 1699472214333 1894577785767 1926960620976 1950750258272 1989626007024 2194594040556 2245425523872 2265962952444 2526103714356 2569280827968 2652834676032 2926125387408 2957389714368 2984439010536 3021283936592 3291891060834 3368138285808 3398944428666 3789155571534 3853921241952 3901500516544 3979252014048 4389188081112 4490851047744 4531925904888 4937836591251 5052207428712 5098416642999 5852250774816 5968878021072 6042567873184 6583782121668 6736276571616 6797888857332 7578311143068 7707842483904 7742040087517 7958504028096 8778376162224 9063851809776 9875673182502 10104414857424 10196833285998 11704501549632 11937756042144 12085135746368 13167564243336 13472553143232 13595777714664 15156622286136 15295249928997 15484080175034 17556752324448 18127703619552 19751346365004 20208829714848 20393666571996 23226120262551 23875512084288 26335128486672 27191555429328 30313244572272 30590499857994 30968160350068 35113504648896 36255407239104 39502692730008 40417659429696 40787333143992 46452240525102 52670256973344 54383110858656 60626489144544 61180999715988 61936320700136 69678360787653 79005385460016 81574666287984 92904481050204 105340513946688 108766221717312 121252978289088 122361999431976 123872641400272 139356721575306 158010770920032 163149332575968 185808962100408 209035082362959 244723998863952 247745282800544 278713443150612 316021541840064 326298665151936 371617924200816 418070164725918 489447997727904 495490565601088 557426886301224 627105247088877 743235848401632 836140329451836 978895995455808 1114853772602448 1254210494177754 1486471696803264 1672280658903672 2229707545204896 2508420988355508 3344561317807344 4459415090409792 5016841976711016 6689122635614688 10033683953422032 13378245271229376 20067367906844064 40134735813688128
- Sum of all divisors σ(n): 123277089830546432
- Sum of proper divisors (its aliquot sum) s(n): 83142354016858304
- 40134735813688128 is an abundant number, because the sum of its proper divisors (83142354016858304) is greater than itself. Its abundance is 43007618203170176
Bases of 40134735813688128
- Binary: 100011101001011001010100010111110101010000111011010000002
- Hexadecimal: 0x8E96545F543B40
- Base-36: AZ6KR3JAS00
Squares and roots of 40134735813688128
- 40134735813688128 squared (401347358136881282) is 1610797018834540441940529648144384
- 40134735813688128 cubed (401347358136881283) is 64648912800400700327523997130800350305342490673152
-
The
square root of 40134735813688128 is 200336556.3587637591 -
The
cube root of 40134735813688128 is 342378.7506627035
Scales and comparisons
How big is 40134735813688128?- 40,134,735,813,688,128 seconds is equal to 1,276,160,453 years, 51 weeks, 2 days, 28 minutes, 48 seconds.
-
To count from 1 to 40,134,735,813,688,128 would take you about three billion, eight hundred twenty-eight million, four hundred eighty-one thousand, three hundred sixty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 40134735813688128 cubic inches would be around 28531.6 feet tall.
Recreational maths with 40134735813688128
- 40134735813688128 backwards is 82188631853743104
- 40134735813688128 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40134735813688128's digits is 72
- More coming soon!
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The information we have on file for 40134735813688128 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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